If neither vehicle accelerates, how long will it take the police to catch up to the truck?

Question

A police truck is in pursuit of a stolen pickup truck. At one instant, the car has a speed of 34 m/s and is 164 m behind the truck. At the same time, the truck has a speed of 32 m/s.

Answer 1

Each second, the truck travels 32 meters, and the car travels 34 meters. So, each second, the car gains 2 meters on the truck. To make up the entire distance of 164 meters, the time needed is:

(164 m) / (2 m/s) = 82 s